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Simplifying m + [2m + -3(2m + -5n) + -2m] = 0 m + [2m + (2m * -3 + -5n * -3) + -2m] = 0 m + [2m + (-6m + 15n) + -2m] = 0 Reorder the terms: m + [2m + -6m + -2m + 15n] = 0 Combine like terms: 2m + -6m = -4m m + [-4m + -2m + 15n] = 0 Combine like terms: -4m + -2m = -6m m + [-6m + 15n] = 0 Remove brackets around [-6m + 15n] m + -6m + 15n = 0 Combine like terms: m + -6m = -5m -5m + 15n = 0 Solving -5m + 15n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15n' to each side of the equation. -5m + 15n + -15n = 0 + -15n Combine like terms: 15n + -15n = 0 -5m + 0 = 0 + -15n -5m = 0 + -15n Remove the zero: -5m = -15n Divide each side by '-5'. m = 3n Simplifying m = 3n
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